Answer:

Step-by-step explanation:
20 1/4 = 20.25
20.25/9 = 2.25
2.25 = 
Each cake weighs 2.25 pounds.
4.5*10^3/9*10^7=4.5/9*10^3*10^7=0.5*10^3*10^7. a^b*a^c=a^(b+c), so 10^3*10^7=10^(3+7)=10^10. 0.5*10^10=5*10^9, since we want to write in scientific notation where the leading number is bigger than one and smaller than 10.
Step-by-step explanation:
-6k-15=-8k+29
-6k+8k=29+15
2k=14
2k/2=14/2
k=7
Answer:
Part A) The diameter of the rug is 
Part B) The radius of the rug is 
Part C) The area of the rug is 
Step-by-step explanation:
Part A) Find the diameter of the rug
we know that
The circumference of a circle (circular rug) is equal to

where
D is the diameter
we have


substitute the values and solve for D


Part B) Find the radius of the rug
we know that
The radius of a circle (circular rug) is half the diameter
we have


substitute

part C) What is the area the rug is covering?
The area of the circle (circular rug) is equal to

we have


substitute


Answer:
A. 23+(6-1)x-3
B. 93
Step-by-step explanation:
a) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference
6th row = 23 + (6 - 1) x -3
= 23 + (5) x -3
= 23 + (-15)
= 8 - number of boxes in the top row.
b) Sum = N/2[2F + (N - 1) x D]
= 6/2[2*23 + (6 - 1) x -3]
= 3 [46 + (5) x -3 ]
= 3 [46 + -15 ]
= 3 [ 31 ]
= 93 - total number of boxes in the entire display.
Hope this helps! Its 3:25 AM for me too so I know how you feel.